For me, it's especially important to give you some hints for vegan tattoo supplies, because they are mostly made out of plastic, which means a huge waist.
Another point is, that in lots of products you can find animal/oil based ingredients - which is not necessary. By using natural ingredients, organic and vegan tattoo supplies are far less harsh on the skin than others and as a side effect we all help a little bit to save the planet.
Here you can find a list of sustainable options.
Supplies:
Cling Film:
Transfer Paper:
Stenciling:
Soaps:
Aftercare:
Razors:
Best would be, if you bring your own razor when you want to get tattooed. Otherwise:
Here is an nice recycling initiative, you can use afterwards: